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1981224 = 233273931
BaseRepresentation
bin111100011101100101000
310201122201200
413203230220
51001344344
6110244200
722561110
oct7435450
93648650
101981224
111133583
127b6660
13544a2b
14398040
15292069
hex1e3b28

1981224 has 48 divisors (see below), whose sum is σ = 6133920. Its totient is φ = 565920.

The previous prime is 1981201. The next prime is 1981237. The reversal of 1981224 is 4221891.

It is a super-3 number, since 3×19812243 = 23330389829397622272, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1462 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (127790).

21981224 is an apocalyptic number.

1981224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1981224 is an abundant number, since it is smaller than the sum of its proper divisors (4152696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1981224 is a wasteful number, since it uses less digits than its factorization.

1981224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3943 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1981224 is about 1407.5595902128. The cubic root of 1981224 is about 125.5965934138.

The spelling of 1981224 in words is "one million, nine hundred eighty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 3931 7862 11793 15724 23586 27517 31448 35379 47172 55034 70758 82551 94344 110068 141516 165102 220136 247653 283032 330204 495306 660408 990612 1981224